Combining Texts

All the ideas for 'fragments/reports', 'Russell's Metaphysical Logic' and 'Universals'

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39 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor
Epistemological Ockham's Razor demands good reasons, but the ontological version says reality is simple [Moreland]
2. Reason / D. Definition / 8. Impredicative Definition
'Impredictative' definitions fix a class in terms of the greater class to which it belongs [Linsky,B]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Reducibility says any impredicative function has an appropriate predicative replacement [Linsky,B]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
Definite descriptions theory eliminates the King of France, but not the Queen of England [Linsky,B]
5. Theory of Logic / I. Semantics of Logic / 5. Extensionalism
Extensionalism means what is true of a function is true of coextensive functions [Linsky,B]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
The task of logicism was to define by logic the concepts 'number', 'successor' and '0' [Linsky,B]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Higher types are needed to distinguished intensional phenomena which are coextensive [Linsky,B]
Types are 'ramified' when there are further differences between the type of quantifier and its range [Linsky,B]
The ramified theory subdivides each type, according to the range of the variables [Linsky,B]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Did logicism fail, when Russell added three nonlogical axioms, to save mathematics? [Linsky,B]
For those who abandon logicism, standard set theory is a rival option [Linsky,B]
7. Existence / D. Theories of Reality / 1. Ontologies
Existence theories must match experience, possibility, logic and knowledge, and not be self-defeating [Moreland]
8. Modes of Existence / B. Properties / 11. Properties as Sets
Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Tropes are like Hume's 'impressions', conceived as real rather than as ideal [Moreland]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
A colour-trope cannot be simple (as required), because it is spread in space, and so it is complex [Moreland]
In 'four colours were used in the decoration', colours appear to be universals, not tropes [Moreland]
8. Modes of Existence / D. Universals / 1. Universals
If properties are universals, what distinguishes two things which have identical properties? [Moreland]
One realism is one-over-many, which may be the model/copy view, which has the Third Man problem [Moreland]
Realists see properties as universals, which are single abstract entities which are multiply exemplifiable [Moreland]
8. Modes of Existence / D. Universals / 2. Need for Universals
Evidence for universals can be found in language, communication, natural laws, classification and ideals [Moreland]
The traditional problem of universals centres on the "One over Many", which is the unity of natural classes [Moreland]
8. Modes of Existence / D. Universals / 3. Instantiated Universals
The One-In-Many view says universals have abstract existence, but exist in particulars [Moreland]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
How could 'being even', or 'being a father', or a musical interval, exist naturally in space? [Moreland]
Maybe universals are real, if properties themselves have properties, and relate to other properties [Moreland]
A naturalist and realist about universals is forced to say redness can be both moving and stationary [Moreland]
There are spatial facts about red particulars, but not about redness itself [Moreland]
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
Redness is independent of red things, can do without them, has its own properties, and has identity [Moreland]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Moderate nominalism attempts to embrace the existence of properties while avoiding universals [Moreland]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
Unlike Class Nominalism, Resemblance Nominalism can distinguish natural from unnatural classes [Moreland]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
There can be predicates with no property, and there are properties with no predicate [Moreland]
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
We should abandon the concept of a property since (unlike sets) their identity conditions are unclear [Moreland]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
Most philosophers think that the identity of indiscernibles is false [Moreland]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Abstractions are formed by the mind when it concentrates on some, but not all, the features of a thing [Moreland]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
It is always open to a philosopher to claim that some entity or other is unanalysable [Moreland]
19. Language / F. Communication / 3. Denial
Contradiction is impossible, since only one side of the argument refers to the true facts [Prodicus, by Didymus the Blind]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
'Presentism' is the view that only the present moment exists [Moreland]
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
People used to think anything helpful to life was a god, as the Egyptians think the Nile a god [Prodicus]
28. God / C. Attitudes to God / 5. Atheism
The gods are just personified human benefits [Prodicus]
He denied the existence of the gods, saying they are just exaltations of things useful for life [Prodicus]